Document Type : Research Article

**Authors**

Department of Mathematics, Faculty of Sciences, University of Kurdistan, Sanandaj, Iran.

**Abstract**

A nonoverlapping domain decomposition technique applied to a finite difference method is presented for the numerical solution of the forward backward heat equation in the case of one-dimension. While the previous at tempts in dealing with this problem have been based on an iterative domain decomposition scheme, the current work avoids iterations. Also a physical matching condition is suggested to avoid difficulties caused by the interface boundary nodes. Furthermore, we obtain a square system of equations. In addition, the convergence and stability of the proposed method are investi gated. Some numerical experiments are given to show the effectiveness of the proposed method.

**Keywords**

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Summer and Autumn 2020

Pages 49-61